scholarly journals A New Type of Interval-valued Fuzzy Filters of Ordered Semigroups

2017 ◽  
Author(s):  
Hidayat Ullah Khan ◽  
Asghar Khan ◽  
Faiz Muhammad Khan ◽  
Yongjin Li
Keyword(s):  
Ordered Semigroups ◽  
New Type ◽  
Fuzzy Filters ◽  
Interval Valued

scholarly journals Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals

2014 ◽  
Vol 2014 ◽  
pp. 1-14
Author(s):  
Jian Tang ◽  
Xiangyun Xie ◽  
Yanfeng Luo
Keyword(s):  
Fuzzy Set ◽  
Ordered Semigroups ◽  
Fuzzy Point ◽  
New Type ◽  
Interval Valued

The concept of non-k-quasi-coincidence of an interval valued ordered fuzzy point with an interval valued fuzzy set is considered. In fact, this concept is a generalized concept of the non-k-quasi-coincidence of a fuzzy point with a fuzzy set. By using this new concept, we introduce the notion of interval valued(∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals of ordered semigroups and study their related properties. In addition, we also introduce the concepts of prime and completely semiprime interval valued(∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals of ordered semigroups and characterize bi-regular ordered semigroups in terms of completely semiprime interval valued(∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals. Furthermore, some new characterizations of regular and intra-regular ordered semigroups by the properties of interval valued(∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals are given.

A more general form of interval valued fuzzy filters in ordered semigroups

2021 ◽  
Author(s):  
Muhammad Sajjad Ali Khan ◽  
Saleem Abdullah ◽  
Kostaq Hila
Keyword(s):  
Ordered Semigroups ◽  
Fuzzy Filters ◽  
Interval Valued

A novel study on fuzzy ideals and fuzzy filters of ordered *-semigroups

2017 ◽  
Vol 33 (1) ◽  
pp. 423-431
Author(s):  
Xinyang Feng ◽  
Jian Tang ◽  
Bijan Davvaz ◽  
Yanfeng Luo
Keyword(s):  
Ordered Semigroups ◽  
Fuzzy Filters

Fuzzy filters in ordered semigroups

2008 ◽  
Vol 29 (2) ◽  
pp. 82-89 ◽  
Author(s):  
M. Shabir ◽  
A. Khan
Keyword(s):  
Ordered Semigroups ◽  
Fuzzy Filters

scholarly journals HAUSDORFF INTERVAL VALUED FUZZY FILTERS

2002 ◽  
Vol 39 (1) ◽  
pp. 137-148 ◽  
Author(s):  
P.V. Ramakrishinan ◽  
V. Lakshmana Gomathi Nayagam
Keyword(s):  
Fuzzy Filters ◽  
Interval Valued

scholarly journals A NEW VIEW OF FUZZY ORDERED SEMIGROUPS

2018 ◽  
Vol 1 (1) ◽  
pp. 9-17
Author(s):  
Hidayat Ullah Khan ◽  
Asghar Khan ◽  
Faiz Muhammad Khan ◽  
Amir Khan ◽  
Muhammad Taj
Keyword(s):  
Coding Theory ◽  
State Machines ◽  
Ordered Semigroup ◽  
Fuzzy Filter ◽  
Fuzzy Coding ◽  
Finite State ◽  
Fuzzy Subgroup ◽  
Characterization Theorems ◽  
Fuzzy Filters ◽  
Interval Valued

fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. In this paper, we introduce the concept of an interval-valued -fuzzy filter of an ordered semigroup, where with. Since the concept of an interval-valued -fuzzy filter is an important and useful generalization of the ordinary interval-valued fuzzy filter, we discuss some fundamental aspects of an interval-valued -fuzzy filters. An interval-valued -fuzzy filter is a generalization of the existing concept of an interval-valued fuzzy filter. We discuss the concept of an interval-valued -fuzzy left (right)-filters and provide some characterization theorems. Finally, we extend the concept of an interval-valued fuzzy subgroup with thresholds to the concept of an interval-valued fuzzy left (right)-filter with thresholds of s.

Ordered semigroups characterized by interval valued (ε, ε $\vee$ q)-fuzzy bi-ideals

2013 ◽  
Vol 25 (1) ◽  
pp. 57-68 ◽  
Author(s):  
Asghar Khan ◽  
Young Bae Jun ◽  
Muhammad Shabir
Keyword(s):  
Ordered Semigroups ◽  
Interval Valued

scholarly journals A New Type of Compositive Information Entropy for IvIFS and Its Applications

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
Junjun Mao ◽  
Yuan Zhao ◽  
Chuang Ma
Keyword(s):  
Intuitionistic Fuzzy Set ◽  
Fuzzy Entropy ◽  
Entropy Measure ◽  
Intuitionistic Fuzzy ◽  
Intuitionistic Fuzzy Entropy ◽  
Entropy Measures ◽  
New Type ◽  
Definition Of ◽  
Multiple Attributes Decision Making ◽  
Interval Valued

We first show the interval-valued intuitionistic fuzzy entropy which reflects intuitionism and fuzziness of interval-valued intuitionistic fuzzy set (IvIFS) based on interval-valued intuitionistic fuzzy cross-entropy. As for intuitionism and fuzziness of IvIFS, we propose interval-valued intuitionistic entropy and interval-valued fuzzy entropy, respectively. Furthermore, we establish the interval-valued span entropy describing the uncertainty of membership degree and nonmembership degree and show some concrete measure formulas. Combining intuitionistic factor, fuzzy factor, and span factor, we ultimately put forward the axiomatic definition of the compositive entropy and give a measure formula of compositive entropy. In addition, the effectiveness of the compositive entropy measure is illuminated by comparison with other entropy measures. Furthermore, the compositive entropy is applied to multiple attributes’ decision-making by using the weighted correlation coefficient between IvIFSs and pattern recognition by a similarity measure transformed from the compositive entropy.

Sign in / Sign up

Export Citation Format

Share Document